We're dividing 588974 by 33 
We want to figure out the number of times 588974 can be divided by 33.

Advancing to step 1:
33 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 33

Step 2:
58 divided by 33 is 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 33 from 58 and we're left with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 33

Moving on to step 3:
When dividing 258 by 33, we get 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 231 from 258 to get 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 33

Moving on to step 4:
279 divided by 33 is 8 with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 178.0
Subtract 264 from 279 to get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 33

On to step 5:
The number 33 fits into 157 4 times, leaving a remainder of 25.
The next digit of our result is 4. 
Result so far: 1784.0
Subtract 132 from 157 to get 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 33

Moving on to step 6:
33 can be fit into 254 7 times, resulting in a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 17847.0
Subtract 231 from 254 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
230 divided by 33 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 17847.6
Subtract 198 from 230 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
When dividing 320 by 33, we get 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 17847.69
Subtract 297 from 320 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
The number 33 fits into 230 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 17847.696
The remainder is 32 after subtracting 198 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
The number 33 fits into 320 9 times, leaving a remainder of 23.
The next digit of our result is 9. 
Result so far: 17847.6969
Subtract 297 from 320 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 11:
33 can be fit into 230 6 times, resulting in a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 17847.69696
Subtract 198 from 230 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
320 divided by 33 is 9 with a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 17847.696969
If we take 297 away from 320, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 13:
230 divided by 33 is 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 17847.6969696
Subtract 198 from 230 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 14:
33 can be fit into 320 9 times, resulting in a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 17847.69696969
Subtracting 297 from 320 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 17847.69696969 with a remainder of 2.3e-08.